Structure formation in the Lemaitre-Tolman model

Details Structure formation in the Lemaitre-Tolman model Structure formation in the Lemaitre-Tolman model

2001-06-29

arxiv.org/abs/gr-qc/0106096v2

Phys.Rev.D65:023501,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX 2e plus 14 .eps & .ps figure files. 33 pages including figures. Minor revisions of text and data make it more precise an

Scientific paper

10.1103/PhysRevD.65.023501

Structure formation within the Lemaitre-Tolman model is investigated in a general manner. We seek models such that the initial density perturbation within a homogeneous background has a smaller mass than the structure into which it will develop, and the perturbation then accretes more mass during evolution. This is a generalisation of the approach taken by Bonnor in 1956. It is proved that any two spherically symmetric density profiles specified on any two constant time slices can be joined by a Lemaitre-Tolman evolution, and exact implicit formulae for the arbitrary functions that determine the resulting L-T model are obtained. Examples of the process are investigated numerically.

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